Pith Number

pith:P3NK7XQT

pith:2018:P3NK7XQTRK3AWYPYP2TQCMXHCN

not attested not anchored not stored refs pending

Decomposition, purity and fibrations by normal crossing divisors

Dung Trang L\^e (I2M), Fouad El Zein (IMJ-PRG), Xuanming Ye

arxiv:1811.04774 v1 · 2018-11-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3NK7XQTRK3AWYPYP2TQCMXHCN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:00:42.839366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edaafde138ab60b61f87ea70132e71348a485331162cc24444cfcaf0929386a

Aliases

arxiv: 1811.04774 · arxiv_version: 1811.04774v1 · doi: 10.48550/arxiv.1811.04774 · pith_short_12: P3NK7XQTRK3A · pith_short_16: P3NK7XQTRK3AWYPY · pith_short_8: P3NK7XQT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3NK7XQTRK3AWYPYP2TQCMXHCN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7edaafde138ab60b61f87ea70132e71348a485331162cc24444cfcaf0929386a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb5960eaf1956530b6fa82c684dc8cedca6c6e37b3c06af1a70ebd1262e4e22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-09T08:09:10Z",
    "title_canon_sha256": "826158de286f2b6118da8094e6caa6663a5a435dc89fb840088a3a831651d760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04774",
    "kind": "arxiv",
    "version": 1
  }
}